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14268341376 = 273337241463
BaseRepresentation
bin11010100100111010…
…11001110010000000
31100211101101211202000
431102131121302000
5213210143411001
610315500024000
71013403620622
oct152235316200
940741354660
1014268341376
11606211a073
122922532000
1314650a3a63
14994da8c12
1558798ba86
hex352759c80

14268341376 has 256 divisors, whose sum is σ = 43522828800. Its totient is φ = 4598415360.

The previous prime is 14268341333. The next prime is 14268341401. The reversal of 14268341376 is 67314386241.

14268341376 is a `hidden beast` number, since 14 + 268 + 3 + 4 + 1 + 376 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30816921 + ... + 30817383.

It is an arithmetic number, because the mean of its divisors is an integer number (170011050).

Almost surely, 214268341376 is an apocalyptic number.

14268341376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14268341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21761414400).

14268341376 is an abundant number, since it is smaller than the sum of its proper divisors (29254487424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14268341376 is a wasteful number, since it uses less digits than its factorization.

14268341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 14268341376 in words is "fourteen billion, two hundred sixty-eight million, three hundred forty-one thousand, three hundred seventy-six".